Sphere Calculator

Enter the radius to find a sphere's volume and surface area.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Volume

113.0973355

V = (4/3)πr³

Surface area

113.0973355

A = 4πr²

What is a sphere?

A sphere is a perfectly round solid where every point on the surface is the same distance — the radius — from the centre, like a ball. The radius is the only measurement you need to find both its volume (how much space it fills) and its surface area (the area of its outside).

The sphere formulas

With radius r: the volume is V = (4/3)πr³ and the surface area is A = 4πr². Both depend only on the radius, so doubling the radius multiplies the volume by eight and the surface area by four.

Example

A sphere with radius 3 has a volume of (4/3) × π × 3³ ≈ 113.10 and a surface area of 4 × π × 3² ≈ 113.10. (The two happen to match at radius 3.)

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Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Type a positive radius. The calculator returns the volume ((4/3)πr³) and surface area (4πr²) instantly.

Values are rounded to about 6 significant digits using the standard constant π ≈ 3.14159.

Frequently asked questions

How do you find the volume of a sphere?+

Use V = (4/3)πr³. For a radius of 6 the volume is about 904.78.

What is the surface area of a sphere?+

Use A = 4πr². For a radius of 6 the surface area is about 452.39.

What happens if you double the radius?+

The surface area becomes four times larger and the volume eight times larger, because they depend on the radius squared and cubed.

How do you find the radius from the volume?+

Rearrange the formula: r = cube root of (3V ÷ (4π)). This reverses the volume formula.

What units does the result use?+

The volume is in cubic units and the surface area in square units of whatever unit you use for the radius.